Least Common Multiple of 124 and 128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 124 and 128 the smallest integer that is 3968 that is divisible by both numbers.

Least Common Multiple (LCM) of 124 and 128 is 3968.

LCM(124,128) = 3968

LCM of 124 and 128

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 124 and 128

LCM of 124 and 128 is 3968

Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 128. First we will calculate the prime factors of 124 and 128.

Prime Factorization of 124


2 124
2 62
31 31
1

Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:

124 = 22×311

Prime Factorization of 128


2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:

128 = 27

Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 128.

LCM(124,128) = 27×311
LCM(124,128) = 3968

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Least Common Multiple of 124 and 128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 124 and 128, than apply into the LCM equation.

GCF(124,128) = 4
LCM(124,128) = ( 124 × 128) / 4
LCM(124,128) = 15872 / 4
LCM(124,128) = 3968

Properties of LCM 124 and 128

(i) The LCM of 128 and 124 is associative

LCM of 124 and 128 = LCM of 128 and 124

Related Least Common Multiples of 124

Related Least Common Multiples of 128

Frequently Asked Questions on LCM of 124 and 128

1. What is the LCM of 124 and 128?

Answer: LCM of 124 and 128 is 3968.

2. What are the Factors of 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

3. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

4. How to Find the LCM of 124 and 128?

Answer:

Least Common Multiple of 124 and 128 = 3968

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

Step 4: Therefore, the least common multiple of 124 and 128 is 3968.